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Finding the Fourth Proportional to 5,613.97, 8,420.26 and 1,453.63

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Solution

The fourth proportional to 5,613.97, 8,420.26 and 1,453.63 is: 2,180.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.97 : 8,420.26 = 1,453.63 : x
  2. Step 2: Convert to fraction form
    5,613.97/8,420.26 = 1,453.63/x
  3. Step 3: Cross multiply
    5,613.97x = 8,420.26 × 1,453.63
  4. Step 4: Simplify right side
    5,613.97x = 12,239,942.54
  5. Step 5: Solve for x
    x = 12,239,942.54/5,613.97
  6. Step 6: Final answer
    x = 2,180.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.